Solving Proportions - Basic

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then isolate the variable.

Front

What does cross-multiplication involve?

Back

Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If a/b = c/d, what is the cross-multiplication result?

Back

The result is a*d = b*c.

Front

What is the first step in solving the proportion 4/x = 8/10?

Back

Cross-multiply to get 4*10 = 8*x.

Front

Solve for x in the proportion 4/x = 8/10.

Back

x = 5.

Front

What is the value of x in the proportion 6/x = 3/9?

Back

x = 18.

Front

If 2/3 = x/12, how do you find x?

Back

Cross-multiply to get 2*12 = 3*x, then solve for x.

Front

What is the solution for x in the equation 2/3 = x/12?

Back

x = 8.

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship or proportion.